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Finding the Fourth Proportional to 389.52, 534.24 and 379.76

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Solution

The fourth proportional to 389.52, 534.24 and 379.76 is: 520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 534.24 = 379.76 : x
  2. Step 2: Convert to fraction form
    389.52/534.24 = 379.76/x
  3. Step 3: Cross multiply
    389.52x = 534.24 × 379.76
  4. Step 4: Simplify right side
    389.52x = 202,882.98
  5. Step 5: Solve for x
    x = 202,882.98/389.52
  6. Step 6: Final answer
    x = 520.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.